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Applied and theoretical statistics: e.g. statistical inference, regression, time series, multivariate analysis, data analysis, Markov chain Monte Carlo, design of experiments.

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Does Multiplicative Version of Azuma's Inequality Hold?

Yes, such bounds are possible. You can adapt the proof of Azuma's inequality to the multiplicative-error case, if you set it up correctly. For example: Lemma 10 [this paper]. Let $Y=\sum_{t=1}^T x_t …
Neal Young's user avatar